State selective cooling of $\mathrm{SU}(N)$ Fermi-gases
Autor: | Müller, Aaron Merlin, Lajkó, Miklós, Schreck, Florian, Mila, Frédéric, Minář, Jiří |
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Rok vydání: | 2021 |
Předmět: | |
Zdroj: | Phys. Rev. A 104, 013304 (2021) |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevA.104.013304 |
Popis: | We investigate a species selective cooling process of a trapped $\mathrm{SU}(N)$ Fermi gas using entropy redistribution during adiabatic loading of an optical lattice. Using high-temperature expansion of the Hubbard model, we show that when a subset $N_A < N$ of the single-atom levels experiences a stronger trapping potential in a certain region of space, the dimple, it leads to improvement in cooling as compared to a $\mathrm{SU}(N_A)$ Fermi gas only. We show that optimal performance is achieved when all atomic levels experience the same potential outside the dimple and we quantify the cooling for various $N_A$ by evaluating the dependence of the final entropy densities and temperatures as functions of the initial entropy. Furthermore, considering ${}^{87}{\rm Sr}$ and ${}^{173}{\rm Yb}$ for specificity, we provide a quantitative discussion of how the state selective trapping can be achieved with readily available experimental techniques. Comment: 8+3 pages, 4+1 figures |
Databáze: | arXiv |
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